Answer:
It's so simple x= -15/2 and y= -12
Step-by-step explanation:
To solve the system of equations:
1. Start with the first equation: y - 2x = 3.
2. Solve it for one variable. You need to add 3x both sides which give you --> y = 3 + 2x.
Now, substitute this expression for y into the second equation:
2x - 3(3 + 2x) = 21
Expand and solve for x :
2x - 9 - 6x = 21
Combine like terms:
-4x - 9 = 21
Add 9 to both sides:
-4x = 30
Divide both sides by -4:
x = -30/4 = -15/2
Now, substitute the value of x into either of the original equations to find y. Let's use the first equation:
y - 2(-15/2) = 3
y + 15 = 3
Subtract 15 from both sides:
y = 3 - 15 = -12
So, the solution to the system of equations is x = -15/2 and y = -12.
