Solve the equation system: {(3x,-,4y,=,-14),(5x,+,7y,=,45):}

glamrockqueen7

glamrockqueen7

Answered question

2021-09-07

Solve the equation system:
{3x4y=145x+7y=45

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-08Added 102 answers

{3x4y=145x+7y=45
Multiply equation (1) by 5 and equation (2) by 3.
{15x20y=7015x+21y=135
Subtract equation (3) from equation (4)
41y=205
y=20541
y=5
Substitute y=5 into equation (1) and solve for x.
3x4×5=14
3x20=14
3x=14+20
3x=6
x=2
The solution is (2 . 5)

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