Answer:
The intersection point is (1.769, 0.923).
Explanation:
First, let's isolate "x" in the first equation:
5x - 2y = 7
5x = 7 + 2y
x = (7 + 2y)/5
Now, we can use the expression we found in the second equation:
3x + 4y = 9
3(7 + 2y)/5 + 4y = 9
And find the value of y:
21/5 + 6/5y + 4y = 9
6/5y + 4y = 9 - 21/5
(6y + 20y)/5 = (45-21)/5
6y + 20y = 24
26y = 24
y = 24/26
y = 12/13 or 0.923
Since you found the value of y, we can substitute it in one equation and find the value of x:
x = (7 + 2y)/5
x = (7 + 2*12/13)/5
x = (7 + 24/13)/5
x = ((91+24)/13)/5
x = (115/13)/5
x = 23/13 or 1.769
The intersection point is (1.769, 0.923).