Solve using elimination
y = 3x + 4
y = 2x + 2

x=-2

y=-2

Step-by-step explanation:

express the system in standard form

-(3x)+y=4 (equation 1)

-(2x+4y=2 (equation 2)

Subtract 2/3x(equation 1) from equation 2

-(3x)+y=4 (equation 1)

0x+y/3=-2/3 (equation 2)

Multiply equation 2 by 3

-(3x)+y=4 (equation 1)

0x+y=-2 (equation 2)

Subtract equation 2 from equation 1

-(3x)+0y=6 (equation 1)

0x+y=-2 (equation 2)

Divide equation 1 by -3:

X+0y=-2 (equation 1)

0x+y=-2 (equation 2)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

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