 Elimination method

Interactive practice questions

Consider this system of equations.

 Equation 1 $\frac{4x}{5}+\frac{3y}{5}=4$4x5​+3y5​=4 Equation 2 $8x-3y=5$8x−3y=5

Which operation will change the fractional coefficients to integer coefficients in this system of equations?

Multiply Equation 2 by $5$5.

A

Multiply Equation 1 by $5$5.

B

Divide Equation 2 by $3$3.

C

Divide Equation 1 by $3$3.

D

Multiply Equation 2 by $5$5.

A

Multiply Equation 1 by $5$5.

B

Divide Equation 2 by $3$3.

C

Divide Equation 1 by $3$3.

D
Easy
Less than a minute

Consider this system of equations.

 Equation 1 $\frac{2x}{5}+\frac{3y}{5}=-\frac{7}{5}$2x5​+3y5​=−75​ Equation 2 $-\frac{1}{4}\left(-5x+\frac{7y}{9}\right)=2$−14​(−5x+7y9​)=2

Consider the following system of equations.

 Equation 1 $3x+7y=-6$3x+7y=−6 Equation 2 $2x-y=-17$2x−y=−17

Suppose we want to solve this system by using the elimination method and eliminating $y$y.

Consider the following system of equations.

 $-8x$−8x $-$− $y$y $=$= $0$0 $-5x$−5x $+$+ $3y$3y $=$= $6$6

Suppose we solve this system using the elimination method by multiplying both sides of the first equation by $3$3 and then adding the resulting equation to the second equation. What equation do we get?

Do not solve the equation.

Outcomes

10P.LR3.02

Solve systems of two linear equations involving two variables with integer coefficients, using the algebraic method of substitution or elimination