Answer:
x = 4, y = 3
x = 3, y = 4
Step-by-step explanation:
Set equation 2 equal to x or y
y = 7 - x
Sub in place of y in equation 1
x
2 + (7 – x)
2 = 25
x
2 + (7 – x)(7 – x)= 25
Set equal to zero
Expand Brackets and simplify
x
2 + 49 - 14x + x2 = 25
2x2
- 14x + 49 = 25
2x2
- 14x + 24 = 0
Factorise and remove a factor first if
possible!
x
2
- 7x + 12 = 0
(x – 4)(x – 3)= 0
x = 4 and x = 3
Sub values of x into ‘y = 7 – x’
x = 4, y = 3
x = 3, y = 4
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