Answer:
(11/35, 81/35)
Step-by-step explanation:
Start with
y = x + 2
5x - 4y = -3
If we multiply all three terms of the first function by 4, we get
4y = 4x + 8
We can now substitute 4x + 8 for y in the second equation:
5x - 4(4x + 8) = -3
Performing the indicated multiplication, we get:
5x - 16x + 32 = -3, or:
-llx = -35, with the result that x = 11/35.
Substituting 11/35 for x in the first equation yields:
y = 11/35 + 2, or
y = 11/35 + 70/35, or
y = 81/35
The solution of this system of linear equations is thus (11/35, 81/35).
