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Utilize graphing to find the solution to the following system of equations. 2x=2y+14 and 3y=-5x+3

Sagot :

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

View image hmsssss66
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