Respuesta :
Answer:
y=-2, x=7
Step-by-step explanation:
x=−3y+1;−9x−10y=−43
Solve x=−3y+1for x:
Substitute−3y+1forxin−9x−10y=−43:
−9x−10y=−43
−9(−3y+1)−10y=−43
17y−9=−43
17y−9+9=−43+9
17y=−34
17y/17=-34/17
y=-2
Substitute−2 for y in x=−3y+1
x=−3y+1
x=(−3)(−2)+1
x=7
Using substitution method, the solution to the system of equation is
x = 7 and y = -2.
What is substitution method?
The substitution method is "an algebraic method is used to solve simultaneous linear equation".
According to the question,
x = -3y + 1 →(1)
-9x - 10y = -43 → (2)
Substitute equation (1) in equation (2)
- 9 (-3y + 1) - 10y = -43
27y - 9 -10y = -43
17y = -43 + 9
17y = -34
y = -2.
Substitute y= -2 in equation (1)
x = -3 (-2) + 1
x = 6 +1
x = 7
Hence, using substitution method, the solution to the system of equation is x = 7 and y = -2.
Learn more about substitution method here
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