Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8
Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into equation 2: 6(2)-y=8 12-y=8 y=12-8 y=4 and check at the end to make sure!
AW
Related Maths GCSE answers
All answers ▸Max invests £2000 and gets 2.5% compound interest per year. Jade invests £1600 and gets 3.5% compound interest per year. Work out who will get the most interest by the end of 3 years.
Solve the quadratic equation x^2 + x - 20 = 0
Integrate y=3x+2 with respect to x between the bounds x=5 and x=0, and state the physical significance of this.
Solve the following simultaneous equations: 1) 2x + 7y = 12 2) 4x = 14 - 4y