Given the system of equations, what is the solution?
1 answer:
Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x =
Plugin x value into either equation to solve for y.
2y = (3 × ) + 10
2y = + 10
2y =
y =
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The solution set for the both equation is (3,0) and (-1,0)
We have given that the equation
We have to determine the solution to the first equation
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Now use this value we have to find the value of y
When x=3 then
y=(3)^2-2(3)-3
y=9-6-3
y=0
When x=-1 then y=1-2(-1)-3
y=1+2-3
y=0
Therefore the solution set for both equations is (3,0) and (-1,0).
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