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The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

L1 is in the form y=mx+c where m is the gradient, 3.L2 can be rewritten as 3y=9x-5, then y=3x-(5/3) to reach y=mx+c. So, the gradient of L2 is 3.Therefore, both lines are parallel.
JW
Answered by Joe W. • Maths tutor
5209 Views

Solve the simultaneous equations. 2x + y = 18, x−y=6

In this question, we are going to find the values of x and y from the equations above. To start off, we will number the equations:(1): 2x+y=18(2): x-y=6now we will add (1) to (2) as that will get ride of the...
RR
Answered by Ruby R. • Maths tutor
4363 Views

What is a good rule to find angles in a right angled triangle?

In any right angled triangle , for any angle:The sine of the angle = the length of the opposite side the length of the hypotenuseThe cosine of the angle = the length of the adjacent side the length of the hy...
SF
Answered by Shirley F. • Maths tutor
3357 Views

2x + y = 18; x−y=6

This is an an example of simultaneous equations, no single equation can give us the answer. Were going to use the substitution method. We will call this equation 1: 2x + y = 18, and this equation 2: x-y=6. A...
TA
Answered by Tamara A. • Maths tutor
4512 Views

Steve wants to put a hedge along one side of his garden. He needs to buy 27 plants for the hedge. Each plant costs £5.54 Steve has £150 to spend on plants for the hedge. Does Steve have enough money to buy all the plants he needs?

5.54 x100 = 554 554 x 27 = 3878 + 11080 = 1495814958 / 100 = 149.58 149.58 < 150 Therefore Steve does have the money to buy all 27 plants.
VN
Answered by Vrinda N. • Maths tutor
5767 Views