Tuklasin ang mga sagot sa iyong mga katanungan sa Imhr.ca, ang pinaka-mapagkakatiwalaang Q&A platform para sa lahat ng iyong pangangailangan. Sumali sa aming Q&A platform upang kumonekta sa mga eksperto na handang magbigay ng eksaktong sagot sa iyong mga tanong sa iba't ibang larangan. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming komprehensibong Q&A platform.

How do I solve this? Can I please get a step by step? Answer should be =1 according to reviewer. Thanks!

How Do I Solve This Can I Please Get A Step By Step Answer Should Be 1 According To Reviewer Thanks class=

Sagot :

[tex]1. \(-4x + 2y = -3\)[/tex]

[tex]2. \(x - 5y = 2\)[/tex]

Step 1: Solve for one variable in terms of the other using Equation 2

[tex]\[ x - 5y = 2 \][/tex]

Solve for \( x \):

[tex]\[ x = 2 + 5y \][/tex]

Step 2: Substitute \(x\) into Equation 1

Now substitute \( x = 2 + 5y \) into Equation 1:

[tex]\[ -4(2 + 5y) + 2y = -3 \][/tex]

Step 3: Simplify and solve for \( y \)

[tex]\[ -8 - 20y + 2y = -3 \][/tex]

Combine like terms:

[tex]\[ -8 - 18y = -3 \][/tex]

Add 8 to both sides:

[tex]\[ -18y = 5 \][/tex]

Divide by -18:

[tex]\[ y = \frac{5}{-18} \][/tex]

[tex]\[ y = -\frac{5}{18} \][/tex]

Step 4: Substitute \(y\) back into the expression for \(x\)

Substitute \( y = -\frac{5}{18} \) back into the equation \( x = 2 + 5y \):

[tex]\[ x = 2 + 5\left(-\frac{5}{18}\right) \][/tex]

[tex]\[ x = 2 - \frac{25}{18} \][/tex]

Express 2 as a fraction to combine:

[tex]\[ x = \frac{36}{18} - \frac{25}{18} \][/tex]

[tex]\[ x = \frac{11}{18} \][/tex]

Step 5: Calculate \( 3x + 3y \)

We need to find \( 3x + 3y \):

[tex]\[ 3x + 3y = 3 \left( \frac{11}{18} \right) + 3 \left( -\frac{5}{18} \right) \][/tex]

Combine the fractions:

[tex]\[ 3x + 3y = \frac{33}{18} - \frac{15}{18} \][/tex]

[tex]\[ 3x + 3y = \frac{18}{18} \][/tex]

[tex]\[ 3x + 3y = 1 \][/tex]

So, the answer is 1.