Solve the system algebraically. y=3-1/2x 3x+4y=1 what is the value of x ? -11 17/2 11

Answer is option A which is -11

Step-by-step explanation:

Given:

y=     ..........................(i)

3x + 4y = 1                            ..........................(ii)

To find:

value of x = ?

Solution:

We know the value of y from the equation (i)

We can get the value of x by putting the value of y in equation (ii)

From equation (i)

y=

Putting this value in equation (ii)

3x + 4y = 1  

Putting y in here it becomes

3x + 4()=1

multiplying 4 inside

3x +12 -2x=1

Subtracting 12 from both sides

3x+12-12- 2x=1-12

3x- 2x=-11

solving it gives

x=-11

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

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step-by-step explanation: