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Chapter 4: Q. 47 (page 386)

In the following exercises, solve the systems of equations by elimination.

6x-5y=-12x+y=13

Short Answer

Expert verified

The solution for system of linear equation is that4,5.

Step by step solution

01

Step 1. Given Information

The system of linear equation:

6x-5y=-1........12x+y=13........2

02

Step 2. Calculation

Here both equations are in standard form. To get opposite coefficients of y multiply second equation with 5.

52x+y=51310x+5y=65........3

Solve for x:

From equations 1and 3:

6x-5y=-110x+5y=6516x=64x=6416x=4

Solve for y:

Substitute x=4

in the equation 6x-5y=-1and solve for y.

6x-5y=-164-5y=-124-5y=-1-5y=-1-24-5y=-25y=-25-5y=5

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Most popular questions from this chapter

The sum of two number is

-26. One number is 12less than

the other. Find the numbers.

Solve the system by graphing: y=3x-16x-2y=6

To decide whether it would be more convenient to solve the system of equations by substitution or elimination.

(a)y=4x+95x-2y=-21(b)9x-4y=243x+5y=-14

In the following exercise, solve the systems of equations by elimination.

x+y2=32x5-y5=3

Solve the system of equations by substitution

y=-2x-1y=-13x+4
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