Kate uses 9.8 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls

Blues Paints = 2.45 pints

Step-by-step explanation:

Let's generate an expression that would relate all the variables given:

Total pints of paints used:

9.8 = white + blue

Pints of white paint used:

= 3/4 of 9.8

=0.75 * 9.8

=7.35

Number of pint of BLUE PAINTS used:

9.8 = White Paints + Blue Paints

9.8 = 7.35 + Blue Paints

Blue Paints = 9.8 - 7.35

Blues Paints = 2.45

Kate used 2.45 pints Blues Paints for her bedroom

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1