Answer: x = 2, y = 1
Step-by-step explanation:
Rearrange the second equation so it just works a little easier for you:
-2x - 3y = -7
rearranged to make y (with its constant) the subject:
3y = 7 - 2x
So we know what y equals. The question tells us y = 6x - 11. So substitute those values into the rearranged equation.
3y = 7 - 2x becomes:
3(6x - 11) = 7 - 2x
because as stated in the question, y = 3x - 11.
Expand the brackets on the left-hand side:
18x - 33 = 7 - 2x
Rearrange to collect like terms:
18x = 7 + 33 - 2x
18x = 40 - 2x
18x + 2x = 40
20x = 40
x = 40/20
x = 2.
So now we know the value of x.
Let's input our new found value of x into one of the given equations, such as y = 6x - 11.
y = (6 * 2) - 11
y = 12 - 11
y = 1.
So y = 1.
You can test this by inputting these values into the other equation, for assurance.
-2x - 3y = -7 becomes:
(-2 * 2) - (3 * 1) = -7
(-4) - 3 = -7
-7 = -7
