What is the solution to the system of equations?

[tex]y = -3x + 5[/tex]

[tex]5x - 4y = -3[/tex]

{ y = − 3 x + 5 5 x − 4 y = − 3 ​ { y = − 3 x + 5 5 x − 4 ( − 3 x + 5 ) = − 3 ​ { y = − 3 x + 5 5 x + 12 x − 20 = − 3 ​ { y = − 3 x + 5 17 x = − 3 + 20 ​
{ y = − 3 x + 5 17 x = 17 / : 17 ​ { y = − 3 ⋅ 1 + 5 x = 1 ​ { y = − 3 + 5 x = 1 ​ { y = 2 x = 1 ​

Answered by Lilith | 2024-06-10

y = -3x + 5 5x - 4y = -3
5x - 4(-3x + 5) 5x + 12x - 20 = -3 17x = -3 + 20 17x = 17 x = 17 / 17 x = 1
y = -3(1) + 5 y = -3 + 5 y = 2

Answered by kayt91 | 2024-06-10

The solution to the system of equations is ( 1 , 2 ) . We used substitution to find this solution. The values are verified by substituting back into the original equations.
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Answered by Lilith | 2024-10-01