AnswersAlgebra IISolving Linear Systems by Substitution

Solving Linear Systems by Substitution — Quiz Answers

10 verified answers
1
Free Preview

Which first step for solving the given system using substitution results in an equation without fractions? 3 x plus y is equal to 9 5 x minus 3 y is equal to 1

A
Solve for y in the first equation.
B
Solve for x in the first equation.
C
Solve for y in the second equation.
D
Solve for x in the second equation.
2
Free Preview

Which equation shows the result of substituting an expression for y from the first equation into the second equation for the given system? y is equal to x plus 5 y minus 2 x is equal to 2

A
open paren 5 minus x close paren minus 2 x is equal to 2
B
open paren x plus 5 close paren plus 2 x is equal to 2
C
open paren x plus 5 close paren minus 2 x is equal to 0
D
open paren x plus 5 close paren minus 2 x is equal to 2
3

Which statement describes the system of equations? x plus 2 y is equal to 2 x minus 2 y is equal to negative 2

A
It has no solution.
B
It has one solution open paren 0 comma 1 close paren .
C
It has one solution open paren 4 comma negative 1 close paren .
D
It has infinitely many solutions.
4

Which first step for solving the given system using substitution results in an equation without fractions? 2 x plus 6 y is equal to 7 6 x plus 18 y is equal to 24

A
Solve for x in the second equation.
B
Solve for x in the first equation.
C
Solve for y in the first equation.
D
Solve for y in the second equation.
5

Which statement describes the system of equations? 5 x minus 3 y is equal to 34 x minus 2 y is equal to 4

A
It has no solution.
B
It has one solution open paren 8 comma 2 close paren .
C
It has infinitely many solutions.
D
It has one solution open paren 24 over 13 comma negative 14 over 13 close paren .
6

What is the solution to the following system of equations? y is equal to 6 x minus 11 negative 2 x minus 3 y is equal to negative 7

A
open paren negative 1 half comma negative 14 close paren
B
open paren 1 comma negative 5 close paren
C
open paren 2 comma 1 close paren
D
open paren negative 13 tenths comma negative 94 fifths close paren
7

What is the solution to the following system of equations? 3 x minus 2 y is equal to 12 6 x minus 4 y is equal to 24

A
It has infinitely many solutions.
B
It has one solution open paren 2 comma negative 3 close paren .
C
It has one solution open paren 4 comma 0 close paren .
D
It has no solution.
9

Which first step for solving the given system using substitution results in an equation without fractions? negative 9 x plus 4 y is equal to 10 negative 9 x plus 3 y is equal to 3

A
Solve for x in the second equation.
B
Solve for y in the first equation.
C
Solve for x in the first equation.
D
Solve for y in the second equation.
10

What is the solution to the following system of equations? x plus y is equal to 5 x minus y is equal to 1

A
open paren 7 comma negative 2 close paren
B
open paren 3 comma 2 close paren
C
open paren negative 2 comma 7 close paren
D
open paren 2 comma 3 close paren

Did you find these answers helpful?