Systems of equations

Solving systems

Types of exercises: system of equations - substitution, system of equations - elimination, system of equations - graphical method, a coefficient of a system from its solution.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Give the solution of the system of equations

The figure shows two lines - the graphical interpretation of a system of two linear equations in the unknowns x and y.

Two intersecting lines in a coordinate systemxy−6−5−4−3−2−112345−6−5−4−3−2−1123450
2

Find a.

The pair x = −1, y = 1 is a solution of the system of equations: ax + 3y = 9 −3x − by = 0

3

Solve the system of equations

x + 5y = −48 3x + 4y = −45

4

Solve the system of equations

2x + 3y = −16 x − 12y = 100

5

Give the solution of the system of equations

The figure shows two lines - the graphical interpretation of a system of two linear equations in the unknowns x and y.

Two intersecting lines in a coordinate systemxy−6−5−4−3−2−112345−6−5−4−3−2−1123450
6

Find b.

The pair x = 5, y = 3 is a solution of the system of equations: ax + 2y = −14 6x − by = 24

7

Solve the system of equations

x + y = −13 −3x − 6y = 54

8

Solve the system of equations

−6x + y = 22 x + 3y = 9

9

Give the solution of the system of equations

The figure shows two lines - the graphical interpretation of a system of two linear equations in the unknowns x and y.

Two intersecting lines in a coordinate systemxy−6−5−4−3−2−112345−6−5−4−3−2−1123450
10

Find b.

The pair x = 3, y = 3 is a solution of the system of equations: ax + y = −3 −5x − by = −21

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Solving systems - exercises with solutions (Systems of equations) | PhiBoard