Question #6410612Single Choice
Algebra-1
Question
Solve the system by substitution.
y = -2
-2x - y = 20
Options
A
(6, -2)
B
(16, -2)
C
(-2,5, -2)
D
(-9, -2)
Answer & Analysis
Answer
D
Analysis
To solve a system of equations by substitution, follow these steps:
Solve one equation for one variable: Choose one of the equations and solve it for one of the variables (e.g., solve for x in terms of y or solve for y in terms of x).
(Since the question already uses a constant to represent y, then skip it.)
Substitute into the other equation: Substitute the expression from step 1 into the other equation. This will result in an equation with only one variable.
(In this question, we put the constant of y into the other equation so that the equation only has one variable.)
Solve for the remaining variable: Solve the simplified equation from step 2 to find the value of the variable.
(Then we got x, and together with the value of y given by the question, we got the solution as well.)
Given y = -2, then put this into -2x - y = 20, we got:
Solve one equation for one variable: Choose one of the equations and solve it for one of the variables (e.g., solve for x in terms of y or solve for y in terms of x).
(Since the question already uses a constant to represent y, then skip it.)
Substitute into the other equation: Substitute the expression from step 1 into the other equation. This will result in an equation with only one variable.
(In this question, we put the constant of y into the other equation so that the equation only has one variable.)
Solve for the remaining variable: Solve the simplified equation from step 2 to find the value of the variable.
(Then we got x, and together with the value of y given by the question, we got the solution as well.)
Given y = -2, then put this into -2x - y = 20, we got:
Click "Show Answer" to reveal the answer and analysis
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