Answer:
Estimate (eye-ballin'): around (3, 3)
Calculation: (2.6, 3.2)
Step-by-step explanation:
Given:
4x + 3y = 20
y = 2x - 2
Sophia's strat is absolutely correct. She makes two equations into one. This is called "substitution":
- Insert y of 2nd equation as y in 1st equation:
4x + 3(2x - 2) = 20
**Remember to multiply the entire thing by 3**
4x + 6x - 6 = 20
**Solve for x**
10x - 6 = 20
10x = 26
x = 2.6
Now that we have x, just plug it into any equation to find y (hint 2nd is easier):
y = 2(2.6) - 2
y = 3.2
COORDS: (2.6, 3.2)
