What is the solution to this system of linear equations? 2%. + 3y = 3
7x-3y = 24
O (
27)
(3,-21)
O (3-1)
19.0

(3,-1)

Step-by-step explanation:

2x + 3y = 3  (I)

7x - 3y = 24 (II)

Add equation (I) & (II) and y will be eliminated and we can find the value of 'x'

(I)         2x + 3y = 3

(II)       7x   - 3y = 24   {Add}

         9x           = 27   {Divide both sides by 9}

                    x = 27/9

x = 3

Plugin x = 3 in equation (I)

2*3 + 3y = 3

  6 + 3y = 3

Subtract 6 from both sides

 3y = 3 - 6

 3y = -3

Divide both sides by 3

    y = -3/3

y = -1

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752