Final answer:
To find the ordered pair (x, y) that satisfies the given system of equations: 5x - y = 3 and -5x + 2y = 4, you can use the method of substitution or elimination. Let me show you how to do it using the method of substitution.
Step-by-step explanation:
To find the ordered pair (x, y) that satisfies the given system of equations:
5x - y = 3 and -5x + 2y = 4, we can use the method of substitution or elimination.
Let's use the method of substitution:
1. Solve the first equation for x:
5x - y = 3
5x = y + 3
x = (y + 3)/5
2. Substitute the value of x in the second equation:
-5x + 2y = 4
-5((y + 3)/5) + 2y = 4
-y - 3 + 2y = 4
y - 3 = 4
y = 7
3. Substitute the value of y in the first equation to find x:
5x - 7 = 3
5x = 10
x = 2
Therefore, the ordered pair (x, y) that satisfies the given system of equations is (2, 7).