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Here the best method to use will be elimination since using a substitution for x or y may produce some nasty fractions. The first thing to look for is that the 2x and 4x are nice multiples of each other. ...

For this we will use the FOIL Method. This stands for Front, Outside, Inside, Last. This helps us to check that we have multipled everything. For example, lets use (x+1)(2x+3): Multiply the first terms: x...

(4x + 3)/(x + 1) + 2 = 8

Firstly minus the 2 from both sides

(4x + 3)/(x + 1) = 6

Then multiply both sides by the denominator (x + 1)

4x + 3 = 6(x + 1)

Expand the bracke...

Let's solve for x first by substituting y in terms of x.

4x-y=30

y=4x-30

3x+2y=3x+2(4x-30)=3x+8x-60=11x-60

11x-60=17

11x=77

x=7

Now let's solve for y by su...

The 2 equations are: 1) x² + y² = 29 2) y-x=3 In this kind of simultaneous equation, you cannot take it away from each other. Instead, you need to substitue. To do so, rearrange the ...