To solve this system of equations, we can use the method of substitution. Let's solve it step by step:
From the second equation, we can isolate y:
2x + y = 1
=> y = 1 - 2x
Now, substitute this expression for y into the first equation:
3x - 5y = 21
3x - 5(1 - 2x) = 21
3x - 5 + 10x = 21
13x - 5 = 21
13x = 26
x = 26/13
x = 2
Substitute this value back into the second equation to solve for y:
2x + y = 1
2(2) + y = 1
4 + y = 1
y = 1 - 4
y = -3
Therefore, the solution to this system of equations is (x, y) = (2, -3).
solve: 3x-5y = 21 and 2x+y = 1
(2,-3)
(2,3)
(-2,-1)
(-2,1)
1 answer