Question

​ y=4x−5 y=2x+3 ​ Is (4,11)(4,11)left parenthesis, 4, comma, 11, right parenthesis a solution of the system?

Answer 1

The solution to the systems if equation y = 4x - 5, y = 2x + 3 is (x, y) = (4, 11)

Equation

y = 4x - 5

y = 2x + 3

• Equation both equations

4x - 5 = 2x + 3

• collect like terms

4x - 2x = 3 + 5

2x = 8

• divide both sides by 2

x = 8/2

x = 4

• Substitute x = 4 into

y = 4x - 5

= 4(4) - 5

= 16 - 5

y = 11

Therefore, the solution to the system of be equation is x = 4 and y = 11

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