5x+5y=-11
7x-3y=19
I am told that my answer is
wrong, can you help me
(1.24, -3.44)
Stumped is not a school subject.
Didn't I do this before?
15x+15y=-33
35x-15y=95
adding
50x=62
x= 1.24
then
7*1.24-3y=19
-3.44=y
Yes, I can help you determine if your answer is correct or not. To do that, we'll need to solve the given system of equations. Let's go step by step.
The given system of equations is:
5x + 5y = -11 ---(1)
7x - 3y = 19 ---(2)
To solve this system using the elimination method, we want to eliminate one variable by multiplying one or both equations by constants. Let's eliminate the variable 'x' from the equations.
First, let's multiply equation (1) by 7 and equation (2) by 5 to make the coefficients of 'x' the same in both equations.
Multiply equation (1) by 7:
7(5x + 5y) = 7(-11)
35x + 35y = -77 ---(3)
Multiply equation (2) by 5:
5(7x - 3y) = 5(19)
35x - 15y = 95 ---(4)
Now we have two equations, (3) and (4), with the same coefficients for 'x'. Subtract equation (4) from equation (3) to eliminate the 'x' term:
(35x + 35y) - (35x - 15y) = (-77) - (95)
35x + 35y - 35x + 15y = -77 - 95
50y = -172
Divide both sides of the equation by 50:
y = -172 / 50
y = -3.44
Now substitute the value of 'y' back into one of the original equations to solve for 'x'. Let's use equation (1):
5x + 5(-3.44) = -11
5x - 17.2 = -11
5x = -11 + 17.2
5x = 6.2
Divide both sides of the equation by 5:
x = 6.2 / 5
x = 1.24
So, the solution to the given system of equations is (1.24, -3.44).
Now, let's check if your answer of (1.24, -3.44) is correct by substituting these values back into the original equations:
For equation (1):
5(1.24) + 5(-3.44) = -11
6.2 - 17.2 = -11
-11 = -11 (True)
For equation (2):
7(1.24) - 3(-3.44) = 19
8.68 + 10.32 = 19
19 = 19 (True)
Since the values of (1.24, -3.44) satisfy both equations, your answer is correct!