Answer:
x = 5
Step-by-step explanation:
11 = 4x-9
20 = 4x
20/4 = 4x/4
5 = x
A y-intercept always has to have an x-value of 0 so the answer is D (the last option)
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
3x+y=9 ....(1)
3x-5y=15. ......(2)
-[3x-5y=15]
=> 3x+ y = 9
-3x+5y=-15
..........................
0 +6y=-6
so,y=-1
3x+(-1)=9
3x=10
x=10/3
