Solve the simultaneous equations 7x - 2y = 22 and 5x + 3y = 29
So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do this would be to find the LCM of the 2 coefficients of x, which is 35.
So:
-
7x-2y = 22 (Multiply equation by 5)
-
5x+3y = 29 (Multiply equation by 7)
This gives us:
- 35x-10y = 110
4.35x + 21y = 203
Solving equations 3 and 4 using the elimination method gives us y=3. Substituting this value for y into equation 2 gives us x=4.
RB
Related Maths GCSE answers
All answers ▸(x+2)/(x-3) - (x-1)/(x+3) can be written in the form (ax+b)/(x^2-9). Work out the value of a and the value of b.
The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.
What is the mean of the numbers: 1, 7, 25, 9 and 34?
There is a quarter circle with radius 8cm, what is the area of the quarter circle. The answer should be given in terms of pi, units are cm^2.