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put this solution on YOUR website!since you have two variables (x and y), you need two equations so that you can substitute in order to find each.
step 1: set to linear format
y = mx + b
1st equation:
y = -4x - 1
2nd equation:
-y = 5x + 0 and we will need to get rid of the negative sign so multiply the whole equation by a negative. we do not need to write the zero so we will leave it out.
- (-y = 5x) --> y = -5x
step 2: substitute your y from your 2nd equation (y=-5x) into the y of your 1st equation (y=-4x-1):
-5x = -4x - 1
*notice how there are no more y's in your equation and we combined your two equations into one equation.
step 3: bring the x's to one side and your constants to the other.
-5x = -4x - 1
-5x + 4x = -1
-1x = -1
-1x/-1 = -1/-1
x = 1
step 4: subsitute your x into your original equations. we will use the 1st one:
4x + y = -1
*remember we found that x = 1
4(1) + y = -1
y = -1 - 4
y = -5
step 5: check your work by substituting your x value and y value into the original equation.
4x + y = -1
*remember
x=1 and
y=-5
4(1) + (-5) = -1
4 - 5 = -1 and your answer checks out therefore the values of your x and y are correct.
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