Question

What is the solution to the system? 1/2x + 3/2= -7 -3x + 2y = -2

Answer 1

Answer:

y = -53/2, x = -17

Step-by-step explanation:

1/2x + 3/2 = -7

-3x +2y = -2

Isolate X for 1/2x + 3/2 = -7

X = -17

Substitute X = -17

-3(-17) + 2y = -2

Isolate Y for -3 (-17) + 2y = -2

Y = -53/2

Answer 2

Answer:

x>10

Step-by-step explanation:

1/2*x-3-(2)>0

Step by step solution :

Step 1 :

1

Simplify —

2

Equation at the end of step 1 :

1

((— • x) - 3) - 2 > 0

2

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

3 3 • 2

3 = — = —————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (3 • 2) x - 6

——————————— = —————

2 2

Equation at the end of step 2 :

(x - 6)

——————— - 2 > 0

2

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

2 2 • 2

2 = — = —————

1 2

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-6) - (2 • 2) x - 10

——————————————— = ——————

2 2

Equation at the end of step 3 :

x - 10

—————— > 0

2

Step 4 :

4.1 Multiply both sides by 2

Solve Basic Inequality :

4.2 Add 10 to both sides

x > 10