1x+2y=5
3x+7y=18
x=
y=
Multiply equation 1 by -3, add to equation 2 (which eliminates x), then solve for y. Use that value in the other equation to solve for x.
Post your work if you get stuck AND explain in detail what you don't understand.
To solve the system of equations:
1x + 2y = 5 (Equation 1)
3x + 7y = 18 (Equation 2)
We can use the method of elimination to find the values of x and y. Here's how we can do it step by step:
Step 1: Multiply Equation 1 by -3 to get:
-3(1x + 2y) = -3(5)
-3x - 6y = -15 (Equation 3)
Step 2: Add Equation 3 to Equation 2:
(-3x - 6y) + (3x + 7y) = -15 + 18
-3x + 3x - 6y + 7y = 3
y = 3
Now that we have solved for y, we can substitute this value back into one of the original equations to solve for x. Let's use Equation 1:
1x + 2(3) = 5
1x + 6 = 5
1x = 5 - 6
1x = -1
So the solution to the system of equations is:
x = -1
y = 3