You'll need to create two equations and have a 'system of equations' then use direct substitution to turn the equation into one. Whichever equation is easiest to solve for x or y. Solve that one for x or y and plug the result in for the variable in the other equation. Then you will have an equation with only 1 unknown.
Answer:
B. divide both sides of the bottom equation by 2
Step-by-step explanation
If opposite means additive inverse, then none of the answers is correct
The given system of equations is
4x+2y=4
12x+y=22
The coefficient of y in the top equation is 2 and the coefficient of y in the bottom equation is 1.
One way to make the coefficient of y have opposite sign is to multiply the bottom equation by -2 to get:
4x+2y=4
-24x-2y=-44
Or we divide the top equation by -2
-2x-y=-2
12x+y=22
If opposite means, multiplicative inverse, then dividing through both sides of the bottom equation by 2 gives:
4x +2y=4
6x + ½y=11
Hence the second choice is correct.
Answer:
AC/GI=BC/H
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠C≅∠I
therefore
side AC must be proportional to side GI and side BC must be proportional to side HI
so
AC/GI=BC/HI
<em>Verify</em>
substitute the given values
15/9=20/12
15*12=20*9
180=180 -----> is true
therefore
The two sides are proportional
Answer:
6 - 24 + 6 + 9
Step-by-step explanation:
Combine Like Terms:
= 9 + −12x + 6+ −12x+6y
= (6) + (−12x+−12x) + (6y) + (9)
= 6 + −24x + 6y + 9
Answer:
142
Step-by-step explanation:
start with 200, add 1 then subtract 32, minus 27 again
200 + 1 -32- 27+ 142