Solve the simultaneous equations 3x + 2y = 4 and 4x + 5y = 17
3x + 2y = 4 (equation 1) 4x + 5y = 17 (equation 2) Multiply equation 1 by 2.5, giving 7.5x + 5y = 10 (equation 1) 4x + 5y = 17 (equation 2) Subtract equation 2 from equation 1, giving 3.5x = -7 Therefore, x = -2 Substitute x = -2 back into equation 1, so 3(-2) + 2y = 4 -6 + 2y = 4 2y = 10 Therefore y= 5 Final answer: x=-2, y=5
IG
Related Maths GCSE answers
All answers ▸I buy a car from a dealership for £3500. The car depreciates in value for every year I own it. What is the value of the car after I have owned it for 18 months if it depreciates at a rate of 5 percent?
A ladder 7.4m long is leaning against a wall as shown in the diagram. The foot of the ladder is 2.9m away from the wall. Calculate the distance the ladder reaches up the wall to 2 significant figures.
Given the function f(x) = 2x^(2) + 3, find the value of x when f(x) = 53.
Josie is paid £1200 per month. She is going to receive an increase of 4% in the amount she is paid. Work out how much money Josie we be paid each month after the increase.