Question

Solve given linear equations. 2x-5y+8=0; x-4y+7=0 


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Answer 1

Answer:

x = 1 and y = 2

Step-by-step explanation:

We are given,

2x - 5y + 8 = 0 ----- 1

x - 4y + 7 = 0 ---- 2

Now,

From eq.1 and eq.2, we can write it as,

2x - 5y = -8 ------ 3

x - 4y = -7 ------ 4

Let's solve the linear equation using Sunbstitution method

Now, we can find x in terms of y from eq.4

x = 4y - 7 ------ 5

Putting eq.5 in eq.3 we get

2(4y - 7) - 5y = -8

8y - 14 - 5y = -8

8y - 5y = 14 - 8

3y = 6

y = 6/3

y = 2

Putting y = 2 in eq.5 we get,

x = 4(2) - 7

x = 8 - 7

x = 1

Thus, x = 1 and y = 2

Hope it helped and you understood it........All the best