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Solve the simultaneous equations, (1) 4x+y=23 and (2) 3x+5y=111/2

Simultaneous equations are equations that have one or more unknown values. There are a multitude of ways to solve simultaneous equations, however the elimination method is the most common at GCSE level maths...
AP
Answered by Allegra P. • Maths tutor
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Solve the simultaneous equations 2x + y = 8 and 3x + 2y = 14

We want to make the number in front of either x or y the same in both equationsSo we multiply the first equation by 2(2x x 2) + (y x 2) = (8 x 2)4x + 2y = 16We then subtract the second equation from our new ...
RM
Answered by Roshene M. • Maths tutor
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A ball of mass m is thrown with velocity of (7i + 4j) m/s from a height of 1m. After some time it hits the ground. Find the: a) ball's maximum height b) speed it hits the ground c) distance travelled

Projectile problem solved using SUVAT--- a) Maximum Height - consider only vertical components: u = 4 m/s, a = -9.81 m/s2, v = 0 ( at maximum height vertical speed is 0), s = ? - Use v 2 = u 2 + 2a (s-1) = 0...
LM
Answered by Lucy M. • Maths tutor
2920 Views

From factorising a^2-b^2 hence or otherwise simplify fully (x^2 + 4)^2 - (x^2-2)^2

This question is a GCSE Higher tier style question. First the student should recognise that a 2 -b 2 = (a-b)(a+b). Using this to solve (x 2 +4) 2 -(x 2 -2) 2 - Where a = (x 2 +4) and b = (x 2 -2). Therefore ...
MS
Answered by Mythili S. • Maths tutor
12629 Views

Simplify 8x-3+6x

we can know there are 3 terms in this polynomial. The basic rule to simplify it is to combine the similar terms. The “x” exists both in the “8x”and the “6x” , which means they are similar. Therefore we can c...
LY
Answered by Lanxin Y. • Maths tutor
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