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we write the questions in the form ax + B y equals C the rewrite make use of the additive inverse the multiplicative inverse and the properties of equality for number one we have y equals negative x plus seven to eliminate negative x just add its opposite which is X and add X to both sides of the equation so we have X plus y is equal to this is zero so we have seven for number two the opposite of negative 3x is 3x add 3x to both sides of the equation we have 3x plus y equals four for number three the opposite of one-half X is negative one-half X add negative one-half X to both sides of the equation we have negative one-half X plus y equals five to clear out fractions and the negative docHub just multiply both sides by negative two distribute this is X minus two y equals negative 10 number for the opposite of 2/3 X is negative 2/3 X and negative 2/3 X to both sides we have negative 2/3 X plus y equals negative 6 then to clear out the denominator here and the negative sign multiply b

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An equation that has two or more variables is called a literal equation. To rewrite a literal equation, solve for one variable in terms of the other variable(s). Solve the literal equation y = 3x + 5xz for x. Divide each side by 3 + 5z.

0:14 4:01 How To Write One Variable In Terms Of Another - YouTube YouTube Start of suggested clip End of suggested clip So those simply stay the same. And once again the Xs and the numbers didnt change so we justMoreSo those simply stay the same. And once again the Xs and the numbers didnt change so we just rewrite those in a positive 8y. And a negative 8y simply give us zero.

We can use the following properties to rewrite equations (to replace them with equivalent equations that have a particular form like , or to solve themwhich is really just another process of rewriting by replacing one equation with a sequence of equivalent ones, or to combine information from multiple equations into

0:05 8:16 How to rewrite literal equations - YouTube YouTube Start of suggested clip End of suggested clip Get the Y all by itself so lets rewrite that. Lets get the positive 4x out of the way byMoreGet the Y all by itself so lets rewrite that. Lets get the positive 4x out of the way by subtracting 4x on both sides. And so 4x minus 4x is 0. We have a positive 1y leftovers well pull that down.

The goal of this task is to manipulate equations in order to solve for a specified variable. For each equation, the teacher may wish to prompt students to put into words what the original equation and rewritten equations say.

The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.

0:59 3:55 Write Equations in Function Notation - YouTube YouTube Start of suggested clip End of suggested clip These cancel bring down the 4y equals negative 2x plus 18 now were going to divide. Both sides by 4MoreThese cancel bring down the 4y equals negative 2x plus 18 now were going to divide. Both sides by 4. So that we can get Y alone Y is equal to negative 2x plus 18 divided by 4 now.

We can use the following properties to rewrite equations (to replace them with equivalent equations that have a particular form like , or to solve themwhich is really just another process of rewriting by replacing one equation with a sequence of equivalent ones, or to combine information from multiple equations into

We can use the following properties to rewrite equations (to replace them with equivalent equations that have a particular form like , or to solve themwhich is really just another process of rewriting by replacing one equation with a sequence of equivalent ones, or to combine information from multiple equations into

The real power of equations is that they provide a very precise way to describe various features of the world. (That is why a solution to an equation can be useful, when one can be found. )

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