Answer:
90 yards in 15 minutes =6 yds/min
90 yards in 9 minutes =10 yds/min
x = current rate
r = rowing rate
r + x = 10
r - x = 6 Adding both equations
2 r = 16
rowing rate = 8 yds/min
x = 2 yds/min (current rate)
Step-by-step explanation:
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)
Answer:
Step-by-step explanation:
Using substitution method.
y = 3x - 8 -------(i)
y = 4 - x -------- (ii)
Substitute y = 3x-8 in equation (ii)
3x - 8= 4 - x {Add x to both sides}
3x - 8 + x = 4 - x +x
4x - 8 = 4 {Add 8 to both sides}
4x = 4 + 8
4x = 12 {Divide both sides by 4}
x = 12/4
x = 3
Substitute x = 3 in Equation (i)
y = 3*3 - 8
y = 9 - 8
y = 1