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Solve each system of equations by the substitution method.

4x-5y=92x=7y

Short Answer

Expert verified

The solution of the given system of equations is x=28, y=4.

Step by step solution

01

Step 1. Substitute the value of one variable from one equation to another.

Substitute 7y for x into4x5y=92 and simplify.

47y5y=9228y5y=9223y=92

02

Step 2. Solve for one variable.

Divide each side of the equation obtained in step 1 by 23 to find the value of y.

23y23=9223y=4

03

Step 3. Solve for another variable.

Substitute 4 for y into x=7y, to find the value of x.

x=7×4=28

Therefore, the solution of the given system of equations is x=28, y=4.

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