Respuesta :

Answer:

2x−y=4

This line meet at x−axis, then the value of y=0 at x axis

Put the value y=0 in equation (i), we get

2x−0=4

⇒2x=4

⇒x=2

This line meet y-axis, then the value of x=0

Put the value x=0 in equation (i), we get

2×0−y=4

⇒−y=4

⇒y=−4

Thus, the equation meets x axis at (2,0) and y axis at (0,−4)

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The solution to the system of equation is (3, -2)

Simultaneous equation

Given the simultaneous equation

4x - 5y = 22 ...................... * 1

2x + y = 4 ....................... *2

Using the elimination method;

4x - 5y = 22

4x + 2y = 8

Subtract

-5y - 2y = 22 - 8

-7y = 14

y = -2

Substitute y = -2 into  quation 1;

4x - 5y = 22

4x - 5(-2) = 22

4x + 10 = 22

4x = 12

x = 3

Hence the solution to the system of equation is (3, -2)

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