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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 2: Q9. (page 69)

Solve each system of equations by the substitution method.
$3 x + y = 19$
$2 x - 5 y = - 10$

Short Answer

Expert verified

The solution of given system of equations is x = 5, y = 4.

Step by step solution

01

Step 1. Substitute value of one variable from one equation to another.

Add on both the sides of $3 x + y = 19$ and simplify.

3x + y – 3x = 19 – 3x

y = 19 – 3x

Substitute 19-3x for into 2x-5y=-10 and simplify.

2x – 5(19 – 3x) = –10

2x – 95 + 15 = –10

17x = 85

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Most popular questions from this chapter

State which postulate, definition, or theorem justifies the statement about the diagram.

$A E + E F = A F$

Provide a counterexample to show that each statement is false. You may use words or draw a diagram.

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Justify each statement with a property from algebra or property of congruence.

If $A B = C D$ , $C D = E F$ and $E F = 23$ then $A B = 23$ .

State which postulate, definition, or theorem justifies the statement about the diagram.

If D is the midpoint of $\bar{B C}$ , then $\bar{B D} ≅ \bar{D C}$ .

State which definition, postulate, or theorem justifies the statement about the diagram.

If $\bar{B D} ≅ \bar{D C}$ , then D is the midpoint of $\bar{B C}$ .

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