Answer:
No graph attached, but it would look like;
The y intercept (the line which meets the y axis) would be at positive 2,
it would then rise one and go over 3 to the right because they are both positive.
Answer:
Six would be your answer
Step-by-step explanation:
2y-9= y-2
-y -Y
y-9=-2
y=-2+9
y=6
How To Solve Systems of Inequalities Graphically
1) Write the inequality in slope-intercept form or in the form
y
=
m
x
+
b
y=mx+b
.
For example, if asked to solve
x
+
y
≤
10
x+y≤10
, we first re-write as
y
≤
−
x
+
10
y≤−x+10
.
2) Temporarily exchange the given inequality symbol (in this case
≤
≤
) for just equal symbol. In doing so, you can treat the inequality like an equation. BUT DO NOT forget to replace the equal symbol with the original inequality symbol at the END of the problem!
So,
y
≤
−
x
+
10
y≤−x+10
becomes
y
=
−
x
+
10
y=−x+10
for the moment.
3) Graph the line found in step 2. This will form the "boundary" of the inequality -- on one side of the line the condition will be true, on the other side it will not. Review how to graph a line here.
4) Revisit the inequality we found before as
y
≤
−
x
+
10
y≤−x+10
. Notice that it is true when y is less than or equal to. In step 3 we plotted the line (the equal-to case), so now we need to account for the less-than case. Since y is less than a particular value on the low-side of the axis, we will shade the region below the line to indicate that the inequality is true for all points below the line:
5) Verify. Plug in a point not on the line, like (0,0). Verify that the inequality holds. In this case, that means
0
≤
−
0
+
10
0≤−0+10
, which is clearly true. We have shaded the correct side of the line.
Answer:
20
Step-by-step explanation:
we can set up the equation like this:
n/4 + 2 = 7
subtract 2 from both sides
n/4 = 5
multiply 4 to both sides and you get...
n = 20
Answer:
(- 6, 14 )
Step-by-step explanation:
Given the 2 equations
x + y = 8 → (1)
2x + y = 2 → (2)
Multiplying (1) by - 1 and adding to (2) will eliminate the y- term
- x - y = - 8 → (3)
Add (2) and (3) term by term to eliminate y, that is
x = - 6
Substitute x = - 6 into either of the 2 equations and evaluate for y
Substituting into (1)
- 6 + y = 8 ( add 6 to both sides )
y = 14
solution is (- 6, 14 )
