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Solve the simultaneous equation: 2x + y = 7 and 3x - y = 8

The aim of this maths question is to find the two unknowns, x and y, by using simultaneous equations. Simultaneous equations can be solved by either using the elimination method or the substitution method. T...
OG
Answered by Oscar G. • Maths tutor
16149 Views

Integrate ln(x) by parts then differentiate to prove the result is correct

Integrating by parts requirez recognition that ln(x) is equal to ln(x) multiplied by 1. Making u equal to ln(x) should make the integration trivial. Differentiation is a simple use of the product rule and ch...
JD
Answered by Joshua D. • Maths tutor
5069 Views

Solve ((3x+2)/(x-1)) +3 =4

The equation looks horrible to start so we need to tidy it up. We do this by firstly getting rid of the fraction. This means that we need to multiply everything else by the denominator (which in this case is...
RH
Answered by Rebecca H. • Maths tutor
9375 Views

The line AB has equation 3x + 5y = 7. Find the gradient of line AB.

First, let's make y the subject of the equation. Let's achieve this by having only y on the left hand side of the equation. To do this we need to minus 3x from both sides of the equation. This leaves us with...
TO
Answered by Tom O. • Maths tutor
5998 Views

Solve 5x – 2 > 3x + 11

Let's temporarily replace the inequality sign ">" with "=". This gives us: 5x - 2 = 3x + 11. If we subtract 3x from both sides we are left with: 2x - 2 = 11. If we add 2 to both sides,...
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Answered by Tom O. • Maths tutor
20802 Views