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Chapter 5: Q 80. (page 611)

Solve the system of equation3x+4y=1y=-25x+2by substitution

Short Answer

Expert verified

The solution is-5,4.

Step by step solution

01

Step 1. Given information 

The given equations are:

3x+4y=1鈰�鈰�1

y=-25x+2鈰�鈰�2

02

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

鈬�3x+4-25x+2=1

03

Step 3. Solve for x

鈬�3x-85x+8=1

鈬�15x-8x5=1-8

鈬�7x5=-7

" width="9" height="19" role="math">鈬�7x=-35

鈬�x=-357

鈬�x=-5

04

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

鈬�y=-25-5+2

鈬�y=2+2

鈬�y=4

05

Step 5. Checking solution 

Now we have x=-5and y=4

Put these values in equation 1

鈬�3-5+44=1

鈬�1=1

Also put these values in equation 2

鈬�4=-25-5+2

鈬�4=4

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