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solve the simultaneous equations using the substitution method

3x+4y=11 and 7x-2y=3

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In order to solve using substitution, we'll need to first isolate one variable in one equation. I will be using 7x - 2y = 3 and solving for y to begin.

7x - 2y = 3

-2y = -7x + 3

2y = 7x - 3

y = 3.5x - 1.5

Next, we'll plug in our value of y (found above) into the equation 3x + 4y = 11 and solve for x.

3x + 4(3.5x - 1.5) = 11

3x + 14x - 6 = 11

17x = 17

x = 1

Finally, we'll plug our value of x in to the first equation (7x - 2y = 3) and solve for y.

7(1) - 2y = 3

7 - 2y = 3

-2y = -4

y = 2

The solution to these equations is (1, 2).

Hope this helps! :)

User Kishor Ramani
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