Solve the system of equations: {(5x,+,2y,=,3),(7x,-,6y,=,13):}

DofotheroU

DofotheroU

Answered question

2021-09-12

Solve the system of equations:
{5x+2y=37x6y=13

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-09-13Added 109 answers

{5x+2y=37x6y=13
Multiply equation (1) by 3.
{15x+6y=97x6y=13
Add equation (3) and equation (2)
22x = 22
x = 1
Substitute x = 1 into the equation (2) and solve for y.
7 * 1 – 6y = 13
7 – 6y = 13
-6y = 13 – 7
6y = -6
y = -1
Thus, the solution is (1. -1).

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