JasmineB2 JasmineB2

06-12-2016
Mathematics

Answered

Solve in substitution. Show your work.

2x+3y=5

y=3x-2

Verified Answer :

KeaneNR KeaneNR

06-12-2016

Substitute the 3x-2 for the y in the first equation:
2x+3(3x-2)=5

Distribute the 3:
2x+9x-6=5

Combine like terms:
11x-6=5

Add 6 to both sides:
11x=11

Divide by 11:
x=1

Substitute that 1 for x in either equation:
y=3x-2
y=3(1)-2
y=3-2
y=1

Answer:
x=1
y=1

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