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Chapter 2: Q9 (page 40)

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

If 2x+y=70and y=3xthen 2x+3x=70.

Short Answer

Expert verified

From theproperty of Algebra, it is proved that2x+3x=70.

Step by step solution

01

Step 1. Apply substitution property of algebra.

The substitution property of equality states that if x=y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation.

02

Step 2. Description of step.

Substitute 3x for y into the equation 2x+y=70.

2x+y=702x+3x=70

03

Step 3. Description of step.

Simplify the equation mentioned in step 2.

2x+3x=70

Therefore, the value of2x+3xis 70.

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