What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundr
edth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}
1 answer:
Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
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