Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)
Answer:
Solution is the point (4, -2)
Step-by-step explanation:
use the expression for y from the first equation in the second equation:
then the equation y = - 2 x + 6 becomes:
- 3 x + 10 = - 2 x + 6
add 3 x to both sides
10 = 3 x - 2 x + 6
10 = x + 6
subtract 6 from both sides
x = 4
Now replace x with 4 in the first equation to find y:
y = - 3 x + 10 = - 3 (4) + 10 = - 12 + 10 = -2
Therefore this is the point solution to the system:
(4, -2)
