Question

solve 7x-8y=22 and 8x+5y=11 by substitution method?

Answer 1

Answer:

Question :-

7x - 8y = 22 and 8x + 5y = 11 by substitution method?

Answer :-

7x - 8y = 2 .. .. .(1)

8x + 5y = 11 .. .. ..(2)

We shall eliminate x by substituting its value from one equation into the other. from equation (1), we get

7x - 8y = 22

➙ x = 22 + 8y

Substituting the value of x in equation (2), we get

8 × (22 + 8y) + 5y = 11

➙ 176 + 64y + 5y = 11

➙ 64y + 5y = 11 - 176

➙ 69y = - 165

➙ y = -165/69

➙ y = -52/23

Now, substituting the value of y in equation (1), we get,

7x - 8(-52/23) = 22

➙ 7x + 416/23 = 22

➙ 7x = 22 - 416/23

➙ 7x = 90/23

➙ x = 90/23 × 1/7

➙ x = 90/161

∴ Hence, x = 90/161 and y = -52/23

Step-by-step explanation:

Answer 2

Answer:

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