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Question: Find where the 2 lines intersect: 4x +8y =20 -2x + y=-15

To find the point where the two lines intersect, you need to solve the system of equations. We can start by using the method of substitution or elimination. In this case, I will use the elimination method. First, the system of equations needs to be rewritten to have the same coefficients for one of the variables: The second equation can be rewritten as: -4x + 2y = -30 Now we have: 4x + 8y = 20 -4x + 2y = -30 By adding these two equations, we get: 10y = -10 Next, divide by 10 on both sides: y = -1 Now we can substitute y into the first equation, solving for x: 4x + 8*(-1) = 20 4x - 8 = 20 4x = 28 x = 7 So, the point where the two lines intersect is (7, -1).

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