9514 1404 393
Answer:
(x, y) = (4, 1)
Step-by-step explanation:
Step 1. Look for an equation that has a coefficient of 1 or -1 for one of the variables. Here, that is the first equation, which has a y-coefficient of -1.
Step 2. If you found such an equation, solve for the variable.
y = 2x -7
Step 3. Use that expression for the variable to substitute into the other equation.
3x -2(2x -7) = 10
Step 4. Solve the resulting equation in the usual way.
3x -4x +14 = 10 . . . . . eliminate parentheses
-x +14 = 10 . . . . . . . collect terms
4 = x . . . . . . . . . separate variable terms and constant terms. Here, we added x-10 to both sides.
If the variable has a coefficient that is not 1, divide both sides by that coefficient.
Now, you can use this value in the expression for y that we found above.
y = 2(4) -7 = 1
The solution is (x, y) = (4, 1).
