mathshelpplease
New member
- Joined
- Oct 5, 2021
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- 25
S3 = 9, S6 = 1
3. (a) [math](9+1)x + 2y=5[/math][math]y=-5x+5/2[/math]
[math]3y-x=10-1[/math][math]y=1/3x+3[/math]
--> one solution as the two lines intersect once
(b) [math]3y=x+9[/math][math]x=3y-9[/math]
[math]2y=-10x+5[/math][math]2y=-10(3y-9)+5[/math][math]y=95/32[/math][math]x=-3/32[/math]
(c)
[math]15x+2y=145/32[/math][math]y=-15/2x+145/64[/math]for there to be a solution, must go through (-3/32, 95/32)
as [math]95/32≠-15/2(-32/32)+145/64[/math]there is no solution
(d) intersection must be at (-3/32, 95/32)
[math]a(-3/32)+(95/32)=b[/math][math]f(a) = 95/32-3/32a[/math]