Question

5 t-shirts and a hat costs £17.00
2 t-shirts and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
will give brainliest

Answer 1

$lets \: \: \: take \: \:a \: \: t \: shirt \:a s \\ = x\\ lets \: \: take \: \: a \: hat \: \:a s \\ = y \\ 5x + y = 17 \\ 2x + y = 8 \\ 5x + y - (2x + y) = 17 - 8 \\ 5x + y - 2x - y = 9 \\ 3x = 9 \\ \frac{3x}{3} = \frac{9}{3} \\ x = 3 \\ \\ a \: \: t \: shirt \: cost \: = 3 \\ \\ 2x + y = 8 \\ 2 \times 3 + y = 8 \\ 6 + y = 8 \\ y = 8 - 6 \\ y = 2 \\ \\ so \: \: a \: \: hat \: \: cost \: = 2$