HOW TO SOLVE
Y=6X-11
&
-2X-3Y=-7
y=6x-11
-2x-3y=-7
Substitute the value of y from the first equation into the second equation:
-2x - 3(6x - 11) = -7
Simplify and solve for x:
-2x - 18x + 33 = -7
-20x = -40
x = 2
Now substitute the value of x into either equation to find y:
y = 6x - 11
y = 6(2) - 11
y = 1
Therefore, the solution is (2, 1).
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To solve the system of equations:
1. Start with the first equation: Y = 6X - 11.
2. Substitute the value of Y from the first equation into the second equation:
-2X - 3(6X - 11) = -7.
3. Distribute -3 to the terms inside the parentheses:
-2X - 18X + 33 = -7.
4. Combine like terms:
-20X + 33 = -7.
5. Subtract 33 from both sides:
-20X = -40.
6. Divide both sides by -20:
X = 2.
7. Now that we have the value of X, substitute it back into either equation (let's use the first equation):
Y = 6(2) - 11.
8. Simplify:
Y = 12 - 11.
9. Solve:
Y = 1.
So, the solution to the system of equations is X = 2 and Y = 1.
put the expression for y (first equation) into the second
-2x-3(6x-11)=-7
-2x-18x+33=-7
you take it from there.