Step-by-step explanation:
This equation is in Standard Form. To find the x and y intercepts, it is easier to convert it to slope-intercept form, or y = mx + b.
6x - y = 10
-y = -6x + 10
y = 6x - 10
In slope-interecept form, you can see that the y-int, b, is -10, the constant. To find x, set y to zero.
0 = 6x - 10
10 = 6x
10/6 = x
5/3 = x
In finding the matching value of one unknown variable when other is known we have to use substitution. By way of substitution, y = 3 (0) + 4; y = 4. Moreover, when the variable of the known variable is zero, we just have to identify the intercept of line in the equation. The number with no variable in its side is always the intercept of the equation.
Let,
the no. of adults be "x"
then, the no. of childern = total people - total adults
= (30 - x)
Now,
According to the quesiton,
2 (30 - x) + 5x = 87
60 - 2x + 5x = 87
60 + 3x = 87
3x = 87 - 60
3x = 27
x = 27 / 3
x = 9
So, there were 9 adults in the group
I'll draw it for you cause im nice.
Ok so if you have 5ft on a square, all the sides are 5ft.
That mean that if its in half, one of the sides will be 2.5ft.
Now you can add 2.5 + 2.5 + 5+5 = 15.
So its 15 ft.
<span>8a−4b=20 (1st)
5a−8b=62 (2nd)
multiply </span>8a−4b=20 (1st) by 2
16a −8b = 40 (1st)
5a −8b = 62 (2nd)
-------------------------subtract
11a = - 22
a = -2
<span>8a−4b=20
</span><span>8(-2) −4b=20
4b = -16 - 20
4b = -36
b = -9
answer
a = -2
b = -9</span>
