Use elimination to solve each system of equations.

4x3y=12x+2y=14

Short Answer

Expert verified

The solution of the given system of equations is 6,4.

Step by step solution

01

Step 1. Multiply.

Multiply each sidex+2y=14 by 4.

4x+2y=4144x+8y=56

02

Step 2. Subtract.

Subtract 4x3y=12from 4x+8y=56. Simplify to obtain the value of y.

4x+8y4x3y=561211y=4411y11=4411y=4

03

Step 3. Substitute.

Substitute 4 for y intox+2y=14 and simplify.

x+24=14x+88=148x=6

Therefore, the solution of the given system of equations is 6,4.

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