The solution to given system of equations is x = 2 and y = -5
<em><u>Solution:</u></em>
<em><u>Given the system of equations are:</u></em>
4x + y = 3 ---------- eqn 1
-2x + 3y = -19 ---------- eqn 2
We have to find the solution to above system of equations
<em><u>We can solve the system by substitution method</u></em>
From eqn 1,
4x + y = 3
Isolate y to one side
y = 3 - 4x ----------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
-2x + 3(3 - 4x) = -19
-2x + 9 - 12x = -19
Combine the like terms
-14x = -19 - 9
-14x = -28
Divide both sides of equation by -14
<h3>x = 2</h3>
<em><u>Substitute x = 2 in eqn 3</u></em>
y = 3 - 4(2)
y = 3 - 8
<h3>y = -5</h3>
Thus the solution is x = 2 and y = -5
Step-by-step explanation:
f(x) = y = -1/2 × sqrt(x + 3), x >= -3
-2y = sqrt(x + 3)
4y² = x + 3
x = 4y² - 3
and now we need to rename x to y and y to x to make it a "normal" function :
y = 4x² - 3
since in the original function x >= -3, this gave us y <=0.
and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.
so, again, the full answer is
f^-1(x) = 4x² - 3, x <= 0
Answer:
Step-by-step explanation:
area of one triangle=(1/2)×6×4=12 m²
area of four triangles=4×12=48 m²
area of square=6×6=36 m²
total area=48+36=84 m²
Answer:
x = 1.89
Step-by-step explanation:
Solve 22 - 10.2 + 25 to get 36.8 as the square's area.
Set up the equation 36.8 = (-10x + 25)^2 to represent the relationship between one side length and the area.
Reverse the equation to solve for x! Find the square root of both sides to cancel out the exponent. This gets you: 6.07 = -10x + 25.
Subtract 25 from both sides, then divide by -10 to get x by itself.
x = 1.89
Y-2x=8
16+4x=2y
Rearrange the first equation equal to y
Y=2x+8
Sub the rearranged equation into the second equation and solve for x
16+4x=2(2x+8)
16+4x=4x+16
16-16=4x-4x
0=0
There would be no solution
Hope this helps!
