Answer:
x1= 6
x2= -1
y1= -2
y2= 5
Explanation:
To solve this problem, you need to make the equation only have 1 variable (either x or y). Let's try to make the equation only have x variable. To do this you need to change one of the equations into y=...
x + y -4 = 0
y=4-x
After this, you can insert the new equation into 1st equation, then you can solve x
x² + 5y – 26 = 0
x² + 5 (4-x)– 26 = 0
x² + 20 -5x – 26 = 0
x² -5x – 6 = 0
(x-6) (x+1)
x1= 6
x2= -1
Then y will be:
y1= 4-x1
y1=4-6
y1= -2
y2= 4-x2
y2= 4=(-1)
y2= 5