Question

Solve the simultaneous equations.
4x + 5y = 17
2x + 4y = 13​

Answer 1

The correct answer is (1/2, 3) or, in other notation, x = 1/2 and y = 3. The work is shown in the attached image. Hope this helps! Let me know if you have any questions :)

Answer 2

x = 1/2 and y = 3

Explanation:

Let

4x + 5y = 17 ......(i)

2x + 4y = 13 .....(ii)

Multiply equation (ii) by 2 to make like 'x' terms. Thus, the new equations are:

4x + 5y = 17 ......(i)

4x + 8y = 26 .....(ii)

Subtract equation (i) from (ii)

4x + 8y - (4x + 5y) = 26 - 17

4x + 8y - 4x - 5y = 9

3y = 9

y = 3

To find x, substitute value of y into any equation

4x + 5y = 17

4x + 5*3 = 17

4x + 15 = 17

4x = 17 - 15

4x = 2

x = 2/4

x = 1/2