Mathematics
rhiyax
25

Solve the system of equations by substitution Y=3x-7 2x+5y=16

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(2) Answers
dianarlm

x equals 3 do you want an explanation

andrewpangeman

Substitute 3x - 7 for y in 2x + 5y = 16, then solve for x: 2x + 5(3x - 7) = 16 Distribute the 5: 2x + 15x - 35 = 16 Add like terms: 17x - 35 = 16 Add 35 on both sides: 17x = 51 Divide 17 on both sides: x = 3 Now that we found that x = 3, we can substitute that into y = 3x - 7 to solve for y y = 3(3) - 7 y = 9 - 7 y = 2 So y = 2, that means the solution to the system of equations is (3, 2). Hope this helps! :)

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