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How do you solve a set of three similatenous equations with three unknown variables?

You should manipulate the equations into a form where you can eliminate a variable, using two of the equations. From here, you should be left with two new equations and two unknown variables. Repeat the s...

Answered by Matthew G. • Maths tutor

2891 Views

Find x in the following linear equation (5x-3)/4=2

x=11/5

Answered by Will P. • Maths tutor

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Two particles A and B of mass 2kg and 3kg respectively are moving head on. A is moving at 5m/s and B is moving at 4m/s. After the collision, A rebounds at 4m/s. What is the speed of B and what direction is it moving in?

Using conservation of momentum, m1u1 + m2u2 = m1v1 + m2v2, set m1 = 2kg, m2 = 3kg, u1 = 5m/s, u2 = -4m/s and v1 = -4m/s. Substitute these into the equation to get 25 + 3(-4) = 2*(-4) + 3*v2 10 - ...

Answered by Amber S. • Maths tutor

4755 Views

2x^2-6x+5 can be written in the form a(x -b)^ 2 + c where a, b and c are positive numbers. Find a,b and c.

In order to solve this problem we must first complete the square. To complete the square we need to factorise the equation to get the coefficient of x to be 1. This gives: 2(x^2-3x)+5. We then need to com...

Answered by Chloe H. • Maths tutor

21479 Views

Solve the following simultaneous equations for x and y. 2x+5y=9 and 4x-3y=7

Here the best method to use will be elimination since using a substitution for x or y may produce some nasty fractions. The first thing to look for is that the 2x and 4x are nice multiples of each other. ...

Answered by Jamie G. • Maths tutor

7701 Views