topic badge

5.04 Systems of equations using elimination method

Adaptive
Worksheet

Interactive practice questions

Suppose we want to solve the system of equations below by using the elimination method to eliminate $y$y.

Equation 1 $4x+7y=-2$4x+7y=2
Equation 2 $3x-y=-13$3xy=13
a

What value must we multiply the second equation by so the coefficient of $y$y in the resulting equation is equal and opposite to that of Equation 1?

b

What equation do we get when we multiply the second equation by $7$7?

Easy
2min

Consider this system of equations.

Easy
< 1min

We are solving the system of equations below using the elimination method.

Easy
2min

When we solve a system of equation using the addition method, what happens when the system has no solutions?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

8.EE.C.8

Analyze and solve pairs of simultaneous linear equations.

8.EE.C.8.B

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

8.EE.C.8.C

Solve real-world and mathematical problems leading to two linear equations in two variables.

What is Mathspace

About Mathspace