A medical lab technician needs to determine how much hydrochloric acid (HCL
of solution. Use the system of equations in which x is the amount of solut

Ask by Wagner Young. in the United States

Jan 25,2025

Question

A medical lab technician needs to determine how much hydrochloric acid (HCL
of solution. Use the system of equations in which x is the amount of solut

Ask by Wagner Young. in the United States

Jan 25,2025

UpStudy AI · Accepted Answer

Solve the system of equations $$ x+y=39;16x+7y=390 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}x+y=39\16x+7y=390\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=39-y\16x+7y=390\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$16\left(39-yight)+7y=390$$
- step3: Simplify:
  $$624-9y=390$$
- step4: Move the constant to the right side:
  $$-9y=390-624$$
- step5: Subtract the numbers:
  $$-9y=-234$$
- step6: Change the signs:
  $$9y=234$$
- step7: Divide both sides:
  $$\frac{9y}{9}=\frac{234}{9}$$
- step8: Divide the numbers:
  $$y=26$$
- step9: Substitute the value of $$y:$$
  $$x=39-26$$
- step10: Simplify:
  $$x=13$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}x=13\y=26\end{array}ight.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}x=13\y=26\end{array}ight.$$
- step13: Rewrite:
  $$\left(x,yight) = \left(13,26ight)$$
The solution to the system of equations is $$ x = 13 $$ and $$ y = 26 $$. This means that the medical lab technician needs to mix 13 units of 16% hydrochloric acid with 26 units of 10% hydrochloric acid to obtain a 39 unit solution.
The medical lab technician needs to mix 13 units of 16% hydrochloric acid with 26 units of 10% hydrochloric acid to obtain a total of 39 units of the desired solution.

A medical lab technician needs to determine how much hydrochloric acid (HCL
of solution. Use the system of equations in which x is the amount of solut

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A medical lab technician needs to determine how much hydrochloric acid (HCL of solution. Use the system of equations in which x is the amount of solut

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A medical lab technician needs to determine how much hydrochloric acid (HCL
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