Respuesta :
Answer:Y=7
Step-by-step explanation:
-8x-3y = -13 (eq 1)
-3x-2y = -11 (eq 2)
First, multiply equation 1 by 2.
-16x-6y = -26
Second, multiply equation 2 by 3.
-9x-6y = -33
Subtract the system of equations:
-16x-6y = -26
-9x-6y = -33
-7x = 7
x = -1
Substitute this value into one of the original equations to solve for y
-3x-2y = -11
-3(-1)-2y = -11
3-2y = -11
-2y = -14
y = 7
Really hope this helps :)
Hey There!
We have been given:
[tex]8x + 3y = 13 \\ 3x + 2y = 11[/tex]
Find the lcm of 3 and 2 to eliminate one equation:
3 * 2 = 6
2 * 3 = 6
Multiply each equation to get to 6:
[tex]2(8x + 3y = 13)\\ 16x + 6y = 26[/tex]
[tex]3(3x + 2y = 11)\\ 9x+6y=33[/tex]
Eliminate:
[tex]16x + 6y = 26\\ -(9x+6y=33)\\ -9x - 6y=-33[/tex]
Simplify:
[tex]16x + 6y = 26\\ -9x - 6y=-33 \\ 7x = -7[/tex]
Solve for x by dividing 7 in both sides:
[tex]7x = -7\\ x = -1[/tex]
Solve for y by substituting x in any equation with -1:
[tex]8(-1) + 3y = 13[/tex]
Simplify:
[tex]-8 + 3y = 13[/tex]
Add 8 in both sides:
[tex]3y = 21[/tex]
Solve for y by dividing 3 in both sides:
[tex]y = 7[/tex]
The value of x is -1 and the value of y is 7
Our answers:
x = -1
y = 7
