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y = -4x - 19
y = 2x − 1
since the same y equals to something, then both equal to each other, so solve for x:
-4x - 19 = 2x − 1
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@automaticloveletter correct, so x=-3
so now plug x=-3 back into any equation and solve for y
Sorry did the math wrong v.v
y = 2(-3) − 1
solve for y
and then -7 thanks i got it :)
To solve a system of equations by substitution you need to follow these three steps: 1. Solve one equation for one variable. 2. Substitute what that variable is equal to in the other equation and solve for the other variable. Now one variable is known. 3. Substitute the known variable into one of the two original equations, and solve for the other variable. Let's do it here, one step at a time: Step 1. Since the first equation is already solved for y, step 1 is done, y = (1/2)x - 6 Step 2. Substitute what y is equal to in the other equation: 2x + 6y = 19, but y = (1/2)x - 6, so 2x + 6( (1/2)x - 6) = 19 Distribute the 6 on the left side: 2x + 3x - 36 = 19 Combine 2x and 3x: 5x - 36 = 19 Add 36 to both sides: 5x = 55 Divide both sides by 5: x = 11 Step 3. Substitute x in one of the two original equations: y = (1/2)x - 6 y = (1/2)11 - 6 y = 11/2 - 6 Use LCD of 2 to subtract fractions: y = 11/2 - 12/2 y = -1/2 hope this help