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Solve these 2 equations simultaneously: 7x+y=1 and 2x squared - y=3

7x+y=1 (1) -> y= 2x 2 - 3 (3) 7x + 2x 2 -3-1=0 -> (2x-1)(x+4)=0 so 2x-1=0 so 2x=1 so x=0.5 and x+4=0 so x=-4 7(0.5)+y=1 so y=1-3.5 so y=-2.5 and 7(-4) +y=1 so -28+y=1 so y= 29 Full answer: x=0.5 y=-2.5...
HV
Answered by Hannah V. • Maths tutor
4157 Views

Simplify p^2×p^5

When you multiply two numbers that are the same with different exponents, the number can remain the same and the exponents are added. That is an exponents rule. This means that the answer is p^7
SA
Answered by Sama A. • Maths tutor
8831 Views

Express (3 - sqrt(5))^2 in the form m + n*sqrt(5), where m and n are integers.

Layout the problem in a more recognisable form such as (3 - sqrt(5))(3 - sqrt(5)) . Notice that this looks a lot like a factorised quadratic equation , where sqrt(5) can be treated as a variable like x . The...
AP
Answered by Anselmo P. • Maths tutor
9405 Views

How do you divide two fractions?

A fraction is simply a different way to write a division sum. I.e a \divide b = a/b. This also applies if the two numbers we're dividing are fractions themselves: a/b \divide c/d = (a/b) / (c/d). This still ...
RP
Answered by Robert P. • Maths tutor
4091 Views

Factorise x^(2)​​​​ - 49

(x + 7)*(x - 7) Notice difference of two squares. Very important to learn square numbers, primes and multiples and be able to notice them.
GI
Answered by Georgiana I. • Maths tutor
4937 Views