Question

Solve the system of equations
x=6y-3
2x+7y=13
Answer
No give numbers like this
(Number,Number)
Answer
8x-3y=-22
y=10+4x
Answered by GPT 3.5
From the first equation, we can isolate x by adding 3 to both sides:
x + 3 = 6y
x = 6y - 3

Substitute this expression for x in the second equation:
2(6y - 3) + 7y = 13
12y - 6 + 7y = 13
19y - 6 = 13
19y = 19
y = 1

Substitute y = 1 back into the first equation to solve for x:
x = 6(1) - 3
x = 6 - 3
x = 3
Answered by GPT 3.5
The solution to the system of equations is (3, 1).
Answered by GPT 3.5
To solve the system of equations using substitution, we can start by substituting the value of y from the second equation into the first equation:

y = 10 + 4x

8x - 3(10 + 4x) = -22

8x - 30 - 12x = -22

Combine like terms:

-4x - 30 = -22

Add 30 to both sides:

-4x = 8

Divide both sides by -4:

x = -2

Now substitute the value of x back into the second equation to solve for y:

y = 10 + 4(-2)
y = 10 - 8
y = 2

Thus, the solution to the system of equations is (-2, 2).