Solve simultaneous equations 3x+2y=9 5x-2y=7

Here we need to get rid of either the x or the y to find one solution to start us off. By adding these equations together we get:

3x+5x+2y-2y=9+7

The y's are eliminated to leave 8x=16. So x is 2!

We can then substitute the x value into one of the equations to find the y:

3(2)+2y=9

2y=3 therefore,   y=1.5

JP

Related Maths 11 Plus answers

All answers ▸

Katie, Jackie and Charlie bake cookies. Katie has baked 8 more cookies than Charlie. Jackie has baked 5 more cookies than Katie. Altogether they have baked 72 cookies. How many cookies did Jackie bake?


How many (1/6)'s are there in 4 & 1/2?


An Island on a map is measured to be 4cm across. The scale of the map is 4cm to 500m. How long is the island in km?


How do I find the prime factors of a number?