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Of the following 4 equations, 3 of them represent parallel lines. Which is the odd one out?

2y - 3x = 4 2) -12x = 4(1 - 2y) 3) y - 5 = 3(x - 1)/2 4) 3(y - x) = 4 - y This question relies on the student's understanding of parallel lines as well as their ability to rearrange equations. The key piece ...
WS
Answered by Wayne S. • Maths tutor
3842 Views

Solve algebraically the system of equations: 4x+5y=-3 and 6x-2y=5

Label both equations to make it easy to refer to them in your answerEqn 1: 4x+5y=-3Eqn 2: 6x-2y=5 To solve these equations we need to be able to eliminate either the y terms or the x terms. In order to do th...
ER
Answered by Emma R. • Maths tutor
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Work out 90% of 130

Find 90% of 130Calculate the value of 10%130 / 10 = 13You can now use this value to find the answer as 100% - 10% = 90% 130 - 13 = 117
FW
Answered by Freya W. • Maths tutor
3534 Views

3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

Firstly we need to set up a simultaneous equation. 3t +2c =7.80 and 5t +4t = 14.20 Rearrange the first equation to find c on its own. 2c = 7.80 - 3t, c= (7.80 - 3t) / 2Then put the new value of c into the se...
LB
Answered by Louise B. • Maths tutor
5332 Views

Find the equation of the normal to the curve y = 2x^2 -3x +7 at the point x = 1.

Thinking about the normal, it is a line which cuts the curve at right angles, and so will have the form y = mx + c. Now at the point where x = 1, we know the y value from the curve's equation is y = 2(1) 2 -...
MJ
Answered by Matthew J. • Maths tutor
9498 Views