1 of 8 0-day streak

Solve simultaneous equations by substitution

Question 1 of 8

No calculator

Find the pair of values that satisfies both equations

Equation 1:

-v + u = 1

Equation 2:

v = -4\,u + 24

Use substitution. Give exact integer or fraction answers where a value is requested

(a)1 mark

Make \(v\) the subject of Equation 2 and replace it in Equation 1. Which single-variable equation is formed by the substitution method?

-4\,u + 24 = -4\,u + 24

-\left(-4\,u + 24\right) + u = 1

\left(\frac{v - 24}{-4}\right) - v = 1

\left(-4\,u + 24\right) + u = 1

4\,u + 24 + u = 1

(b)1 mark

Use substitution to find \(u\). Give an exact integer

\(u\)

Format: Give an exact integer

Substitute your value for \(u\) into the subject equation and find \(v\). Give an exact integer

\(v\)

Format: Give an exact integer