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Chapter 2: Q4. (page 69)

Solve each system of equations by the substitution method.

3x+2y=71y=4+2x

Short Answer

Expert verified

The solution of a given system of equations is x=9, y=22.

Step by step solution

01

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

Substitute4+2x for y into3x+2y=71 and simplify.

3x+24+2x=713x+8+4x=717x+8=71

02

Step 2. Solve for one variable.

Subtract 8 from both the sides of the equation obtained in step 1 and simplify.

7x+8鈭�8=71鈭�87x=63

Divide each side of the equation obtained in step 2 by 7 to find the value of x.

7x7=637x=9

03

Step 3. Solve for another variable.

Substitute 9 for x into y=4+2x, to find the value of y.

y=4+2脳9=4+18=22

Therefore, the solution of given system of equations is x=9, y=22.

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