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Chapter 4: Q 32 (page 386)

Solve the systems of equations by substitution.

x-2y=-52x-3y=-4

Short Answer

Expert verified

The solution of system of linear equation is(7,6)

Step by step solution

01

Step 1. Given information

The system of equations isx-2y=-52x-3y=-4

02

Step 2. Substitute the value of y from one equation into other equation 

x-2y=-52y=x+5y=x2+52

Now,

2x-3y=-42x-3x2+52=-42x-3x2-152=-4x2=72x=7

03

Step 3. Substitute the value of x in any equation  

x-2y=-57-2y=-5-2y=-12y=6

04

Step 4. Required answer

The solution of system of linear equation is(7,6)

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Most popular questions from this chapter

Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.

A commercial jet can fly 1320miles in 3hours with a tailwind but only 1170miles in 3hours into a headwind. Find the speed of the jet in still air and the speed of the wind.

8June needs 48gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is five times as large as the smaller cooler. How many gallons can each cooler hold?

Translate to a system of equations and solve:

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three times the number of quarters. How many nickels and how many quarters does he have?

Solve the system by substitution:2x+y=-14x+3y=3
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