Final answer:
To substitute the value of y from the first equation into the second equation, y = 10 - x, we can substitute this value into the second equation, 20x + 26.25(10 - x) = 250, and simplify to find the value of x.
Step-by-step explanation:
To substitute the value of y from the first equation into the second equation and simplify, we start by replacing y in the second equation with its value from the first equation. Given y = 10 - x, we can substitute this value into the second equation:
20x + 26.25(10 - x) = 250
Simplifying, we distribute the 26.25:
20x + 262.5 - 26.25x = 250
Combining like terms, we get 20x - 26.25x + 262.5 = 250:
-6.25x + 262.5 = 250
Finally, we isolate x by subtracting 262.5 from both sides:
-6.25x = -12.5
Dividing by -6.25, we find that x = 2:
x = 2