how do you solve a problem like (−3x+2y = 5) without graphing
my problems look like this
6. What is the solution of the system of equations?
y = 4x + 5
y = 3x – 3
You need another equation. Then you solve both by either elimination or substitution.
Solve by substitution. Equate y = y.
4x + 5 = 3x - 3
4x - 3x = -3 - 5 --> x = -8
Substitute in either of the equations to get the 'y' value.
y = 3x - 3 = 3(-8) - 3 = -27
Answer is (-8 , -27)
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Verified answer
You need another equation. Then you solve both by either elimination or substitution.
Solve by substitution. Equate y = y.
4x + 5 = 3x - 3
4x - 3x = -3 - 5 --> x = -8
Substitute in either of the equations to get the 'y' value.
y = 3x - 3 = 3(-8) - 3 = -27
Answer is (-8 , -27)