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Exercises Systems of equations

Example 5.25 from Elementary Algebra, 5.3 Solve Systems of Equations by Elimination

Solve Systems of Equations by Elimination: example 5.25

Solve the system by elimination. ${\begin{matrix} 2 x + y = 7 \\ x - 2 y = 6 \end{matrix}$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
$This figure has seven rows and three columns. The first row reads, “Step 1. Write both equations in standard form. If any coefficients are fractions, clear them.” It also says, “Both equations are in standard form, A x + B y = C. There are no fractions.” It also gives the two equations as 2x + y = 7 and x – 2y = 6.$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve the system by elimination. ${\begin{matrix} 3 x + y = 5 \\ 2 x - 3 y = 7 \end{matrix}$

How did it go?

PreviousSolve Systems of Equations by Substitution: example 5.24 Next Solve Systems of Equations by Elimination: example 5.26

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 5.3, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.