Answer:
Explanation:
To solve the system of equations 2y + 5x = 13 and 2y-3x = 5 using the substitution method, you can follow these steps:
Begin by solving one of the equations for one of the variables. For example, you could solve the first equation for y:
2y + 5x = 13
2y = 13 - 5x
y = (13 - 5x) / 2
Substitute the expression for y into the second equation and solve for x:
2((13 - 5x) / 2) - 3x = 5
13 - 5x - 3x = 5
-8x = -8
x = 1
Substitute the value of x into the expression for y to find the value of y:
y = (13 - 5(1)) / 2
y = (13 - 5) / 2
y = 8 / 2
y = 4
The solution to the system of equations is (1,4).
Therefore, the correct ordered pair is (1,4).