13g + 2(4k - g)
Distributive property
13g + 8k - 2g
Put like terms 2gether
13g- 2g + 8k
11g + 8k
THE ANSWER IS 11g + 8k
First you want to know what y or x is i chose y for this on
so the equation i'm going to use is -2x-5y=3
i want to solve for y
-2x-5y=3
+2x +2x
-5y=2x+3
/-5 /-5 /-5
y=-2/5x+-3/5
Now that i solved for y we substitute our answer into the next equation to solve for x like this:
3x+8y=-6
3x+8(-2/5x+-3/5)=-6
3x+ -3.2x+-4.8=-6
-0.2x+-4.8=-6
+4.8 +4.8
-0.2x=-1.2
/-0.2 /-0.2
x=6
After you know what x is you substitute it in for any of the equations that we started with. I picked 3x+8y=-6 to find y.
3x+8y=-6
3*6+8y=-6
18+8y=-6
-18 -18
8y=-24
/8 /8
y=-3
Since we know what x and y are we substitute it with any of the equations that we started with. i picked -2x-5y=3
-2*6-5*-3=3
-12- -15=3
3=3
so our solution (6,-3) works
Dependent
The general form for a pair of linear equations in two variables x and y is
and
----- (1)
----- (2)
Comparing equations 1 and 2 with the general form of equation to write their co-efficient,
Compare the ratio,
If , then the pair of linear equations has exactly one solution.
So, it said to be consistent.
Answer:
x≤2
Step-by-step explanation:
-6(4 - x) ≤-4(x + 1)
Distribute
-24 +6x≤ -4x-4
Add 4x to each side
-24 +6x+4x≤-4x-4+4x
-24 +10x≤ -4
add 24 to each side
-24+10x+24≤-4+24
10x≤20
Divide by 10
10x/10 ≤20/10
x≤2
