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Chapter 5: Q 82. (page 611)

Solve the system of equation-3x-5y=3y=12x-5by substitution

Short Answer

Expert verified

The solution is4,-3.

Step by step solution

01

Step 1. Given information 

The given equations are:

-3x-5y=3鈰�鈰�1

y=12x-5鈰�鈰�2

02

Step 2. Substitute value of y from equation 2 in equation 1

-3x-512x-5=3

03

Step 3. Solve for x

鈬�-3x-52x+25=3

鈬�-6x-5x2=3-25

鈬�-112x=-22

鈬�x=-44-11

鈬�x=4

04

Step 4. Substitute value of x from step 3 in equation 2

鈬�y=124-5

鈬�y=2-5

鈬�y=-3

05

Step 5. Checking solution 

Now we have x=4andy=-3

Put these values in equation 1

鈬�-34-5-3=3

鈬�3=3

Also put these values in equation 2

role="math" localid="1649087818803" 鈬�-3=124-5

role="math" localid="1649087837741" 鈬�-3=-3

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In the following exercises, translate to a system of equations and solve.

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