Answer:
(-2/7, 2/3)
step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)
Answer:
Step-by-step explanation:
There is no graph posted, but y-intercepts are <em>x</em>'s are set equal to zero.
I am joyous to assist you anytime.
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+b, where m is the gradient and b is the y-intercept.
Let's rewrite the equation of the given line in the form of y=mx+b, so we can find its gradient.
y +2= 3(x -1)
y +2= 3x -3 <em>(</em><em>expand</em><em>)</em>
y= 3x -3 -2
y= 3x -5
Gradient of given line= 3
Gradient of unknown line= 3,
since parallel lines have the same gradient.
Susbt. m=3 into the equation:
y= 3x +b
Substitute a coordinate to find the value of b.
When x= 1, y= -2,
-2= 3(1) +b
-2= 3 +b
b= -2 -3 <em> </em><em>(</em><em>-3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= -5 <em>(</em><em>simplify</em><em>)</em>
Thus the equation of the line is y= 3x -5.
Sophie will have a greater daises to total flowers ratio than Eleanor. To make this easier to see, let's assume the boquets have 10 flowers each, and Eleanor uses 2 daisies and 8 tulips, while Sophie uses 5 daisies and 5 tulips. Then Eleanors ratio is 2:10=1:5, while Sophie's ratio is 5:10=1:2.
So times 3 by what’s in the parentheses
a+3a-3=6+3
4a-3=9
4a=12
a=3