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Math Asked by a SnapAndSolve user · about 1 hour ago

Solve the system of equations. (calculator/graph recommended) { y = (3/2)x + 7 y = 5x (10, 2) (2, 10) (-10,...

Solve the system of equations. (calculator/graph recommended)
{ y = (3/2)x + 7
y = 5x
(10, 2)
(2, 10)
(-10, -2)
(-2, -10)

Answer

To solve the system of equations, set the equations equal to each other:

Equation 1: y = (3/2)x + 7
Equation 2: y = 5x

Set (3/2)x + 7 = 5x:

(3/2)x + 7 = 5x
7 = 5x - (3/2)x
7 = (10/2)x - (3/2)x
7 = (7/2)x
x = 2

Substitute x = 2 back into one of the equations to find y:

y = 5(2) = 10

The solution is (2, 10).

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