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Chapter 2: Q9. (page 69)

Solve each system of equations by the substitution method.

3x+y=19

2x鈥�5y=鈥�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 3x+y=19and simplify.

3x + y 鈥� 3x = 19 鈥� 3x

y = 19 鈥� 3x

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

2x 鈥� 5(19 鈥� 3x) = 鈥�10

2x 鈥� 95 + 15 = 鈥�10

17x = 85

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Most popular questions from this chapter

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

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