Answer:
Solution is (3, -4)
Step-by-step explanation:
Let Equation 1 --> 2x=2y+14
By subtracting 14 from both sides, it becomes --> 2y=2x-14
By simplifying (dividing by 2), it becomes --> y=x-7
Let equation 2 --> 3y=-5x+3
If we were to substitute (y=x-7) into the second equation, it becomes
3(x-7) = -5x+3
Through distribution, it becomes: 3x-21 = -5x+3
Bringing x to one side and integers to the other (+5x / -21) on both sides:
8x = 24
Divide both sides by 8:
x=3
Substitute this value of x into Equation 1
y=x-7
y=3-7
y=-4
Final Answer: (3, -4)
If we were to copy Equations 1 and 2 as they are on a graphing calculator, the point where they intersect shall be the same as this answer as seen below
