Systems of equations
systems of two linear equations (substitution and elimination), independent, dependent and inconsistent systems, word problems
Exercises are drawn at random from a large bank - every click gives a different set.
Solved: 0 of 10
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.
Solve the system of equations
x − 3y = −2 4x − 4y = −16
What kind of system of equations is this?
3x − 6y = 10 −7x + 7y = −8
Find a.
The pair x = −2, y = 4 is a solution of the system of equations: ax + 2y = 14 x − by = 6
Problem
Two orchards produced 36 tonnes of apples in total. The next year the first orchard produced 20% more and the second 20% less than the year before - 38.4 tonnes together. How many tonnes of apples did the first orchard produce in the first year?
For which number m is the system of equations inconsistent?
3x + y = 6 12x + my = 23
Problem
Jacob bought 11 tickets for 81 zl in total. A full ticket costs 9 zl and a reduced one 6 zl. How many full tickets and how many reduced ones were bought?
What kind of system is this, and how are the lines described by its equations placed?
y = −x − 6 x + y = −6
Solve the system of equations
7x − 2y = −18 −6x + 8y = −16
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.
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