Step-by-step explanation:
When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:
- If the values of m and c in both equations are the same, they have infinitely many solutions
- If only the value of m is the same, they have no solutions
- If neither is the same, they have 1 solution
Bearing this in mind, we have the following answers:
y = -6x - 2 and y = -6x - 2
=> Infinitely many solutions
y = 0.5x + 5 and y = 0.5x + 1
=> No solutions
y = 0.25x + 2 and y = 5x - 4
=> 1 solution
y = 2x + 3 and y = 4x - 1
=> 1 solution
y = 2x + 5 and y = 2x + 5
=> Infinitely many solutions
y = -x - 3 and y = -x + 3
=> No solutions
You can put f(x) = -12x into a graphing calculator like desmos and it'll show you the graph :)
No thanks, oh did you forget about karma?
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.
Look at the exponents for this question. The smaller the exponent the least it is. If by any chance the exponents are the same then look at the numbers in front of it.
Answer:
1.4 * 10^-2
1.4 * 10^-1
1.5 * 10^3
2 * 10^3